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Finding the Fourth Proportional to 10,983.64, 16,550.41 and 9,078.52

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Solution

The fourth proportional to 10,983.64, 16,550.41 and 9,078.52 is: 13,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.64 : 16,550.41 = 9,078.52 : x
  2. Step 2: Convert to fraction form
    10,983.64/16,550.41 = 9,078.52/x
  3. Step 3: Cross multiply
    10,983.64x = 16,550.41 × 9,078.52
  4. Step 4: Simplify right side
    10,983.64x = 150,253,228.19
  5. Step 5: Solve for x
    x = 150,253,228.19/10,983.64
  6. Step 6: Final answer
    x = 13,679.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.